Cubature over Polygonal Domains
Convert Various Polygon Classes to a Simple List of Vertices
Euclidean Vector Norm (Length)
Check the Integral of
Integration of the Isotropic Gaussian Density over Circular Domains
Conversion between polygonal "owin" and "gpc.poly"
Coerce "SpatialPolygons" to "owin"
Dot/Scalar Product of Two Vectors
gpclib License Acceptance (OBSOLETE)
Check if Polygon is Closed
Checks if Argument is Scalar
Plots a Polygonal Domain (of Various Classes)
Plot Polygonal Domain on Image of Bivariate Function
Convert polygonal "sfg" to "gpc.poly"
Cubature over Polygonal Domains
Quasi-Exact Cubature of the Bivariate Normal Density (DEFUNCT)
Cubature of Isotropic Functions over Polygonal Domains
Two-Dimensional Midpoint Rule
Wrapper Function for the Various Cubature Methods
Product Gauss Cubature over Polygonal Domains
Calculate 2D Nodes and Weights of the Product Gauss Cubature
Numerical integration of continuously differentiable functions f(x,y) over simple closed polygonal domains. The following cubature methods are implemented: product Gauss cubature (Sommariva and Vianello, 2007, <doi:10.1007/s10543-007-0131-2>), the simple two-dimensional midpoint rule (wrapping 'spatstat.geom' functions), and adaptive cubature for radially symmetric functions via line integrate() along the polygon boundary (Meyer and Held, 2014, <doi:10.1214/14-AOAS743>, Supplement B). For simple integration along the axes, the 'cubature' package is more appropriate.